Least Common Multiple of 342, 252, 996

Q: How to Find the LCM of 342, 252, 996 ?

Least Common Multiple of 342, 252, 996 = 397404 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(342, 252, 996) = 2 x 2 x 3 x 3 x 7 x 19 x 83 = 397404.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 342, 252, 996 i.e. 397404 smallest integer divisible by all numbers.

Least common multiple (LCM) of 342, 252, 996 is 397404.

LCM(342, 252, 996) = 397404

LCM of 342, 252, 996

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 342, 252, 996 by common division method
Least Common Multiple of 342, 252, 996 with GCF Formula

Least Common Multiple of 342,252,996

Least Common Multiple (LCM) of 342,252,996 is 397404

2	342, 252, 996
2	171, 126, 498
3	171, 63, 249
3	57, 21, 83
	19, 7, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 19 x 7 x 83 = 397404

Least Common Multiple of 342,252,996 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 342,252,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,252,996) = 6

common factors(in case of two or more numbers have common factors) = 36

GCF(342,252,996) x common factors =6 x 36 = 216

LCM(342,252,996) = ( 342 × 252 × 996 ) / 216

LCM(342,252,996) = 85839264 / 216

LCM(342,252,996) = 397404

∴ Least Common Multiple of 342,252,996 is 397404

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 342, 252, 996

1. What is the LCM of 342, 252, 996?

Answer: LCM of 342, 252, 996 is 397404.

2. What are the Factors of 397404?

Answer: Factors of 397404 are . There are integers that are factors of 397404

3. How to Find the LCM of 342, 252, 996 ?

Least Common Multiple of 342, 252, 996.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(342, 252, 996) = 2 x 2 x 3 x 3 x 7 x 19 x 83 = 397404.